1. $(2x^2y - 3)(-2x^2 - y + 2) = -4x^4y - 2x^2y^2 + 4x^2y + 6x^2 + 3y - 6$
2. $(6m^4 + 3n^2)(-mn^2 + 6n^2 + n - 2) = -6m^5n^2 + 36m^4n^2 + 6m^4n - 12m^4 - 3mn^4 + 18n^4 + 3n^3 - 6n^2$
3. $(6zn + 2)(6z^2 - 3n + 1) = 36z^3n - 18zn^2 + 6zn + 12z^2 - 6n + 2$
4. $(5ba^2 - b)(-ba^3 + 3ba + 4b + 6) = -5b^2a^5 + 15b^2a^3 + 20b^2a^2 - 30ba^2 + b^2a^3 - 3b^2a - 4b^2 - 6b$
5. $(f \cdot g)(b) = f(b) \cdot g(b) = (4b^4 + b^2 - b)(-15b^3 - 6) = -60b^7 - 24b^4 - 15b^5 - 6b^2 + 15b^4 + 6b = -60b^7 - 15b^5 - 9b^4 - 6b^2 + 6b$
6. $(f \cdot g)(n) = f(n) \cdot g(n) = (5n^3 - n - 1)(-20n^4 - 6n) = -100n^7 - 30n^4 + 20n^5 + 6n^2 + 20n^4 + 6n = -100n^7 + 20n^5 - 10n^4 + 6n^2 + 6n$
7. $(f \cdot g)(x) = f(x) \cdot g(x) = (-2x^5 + 2x^4 - x)(-12x^2 - 16x) = 24x^7 + 32x^6 - 24x^6 - 32x^5 + 12x^3 + 16x^2 = 24x^7 + 8x^6 - 32x^5 + 12x^3 + 16x^2$
8. $(f \cdot g)(1) = f(1) \cdot g(1) = (-4(1)^5 - 18(1)^3 - 18(1)^2)(4(1)^2 + 1 + 6) = (-4 - 18 - 18)(4 + 1 + 6) = (-40)(11) = -440$
Parent Tip: Review the logic above to help your child master the concept of polynomial worksheet.
![FREE] Polynomials Worksheet](/images2/polynomial-worksheet/polynomial-worksheet-35.png)
